How do you simplify root3(-1000x^3)3√−1000x3?

1 Answer
H Dev
Apr 16, 2016

-10x−10x

Explanation:

We are asked to find the cubic root of -1000x^3−1000x3.

-1000 and x^3x3 are both perfect cubic numbers so it will be fairly simple to figure out the answer to this problem.

root(3){-1000} = -103√−1000=−10 because -10 times -10 times -10 = -1000−10×−10×−10=−1000
root(3){x^3} = x3√x3=x because x times x times x = x^3x×x×x=x3

Therefore our answer is -10x−10x.

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